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Finding the Fourth Proportional to 505.63, 697.77 and 309.11

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Solution

The fourth proportional to 505.63, 697.77 and 309.11 is: 426.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.63 : 697.77 = 309.11 : x
  2. Step 2: Convert to fraction form
    505.63/697.77 = 309.11/x
  3. Step 3: Cross multiply
    505.63x = 697.77 × 309.11
  4. Step 4: Simplify right side
    505.63x = 215,686.14
  5. Step 5: Solve for x
    x = 215,686.14/505.63
  6. Step 6: Final answer
    x = 426.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.